As a farmer, Felipe keeps a close eye on the weather. After a few stressful weeks with no rain, Felipe was relieved when it started raining one morning. It rained steadily all day, and Felipe periodically checked to see how much rain had fallen. There is a proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) that had fallen, y. The equation that models this relationship is y=0.25x. At this rate, how long did it take until 2 inches of rain have fallen? Write your answer as a whole number or decimal.

The time it took until 2 inches of rain fell is 8 hours

Step-by-step explanation:

You know that the proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) it had fallen, y, is y = 0.25*x

To find the time that passed until 2 inches of rain fell, you must replace the amount of rain (in inches) that had fallen "and" by that value. In this way the following expression is obtained:

2= 0.25*x

Solving:

8 = x

So, remembering that the amount of time it had been raining, x, is expressed in hours, the time it took until 2 inches of rain fell is 8 hours.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

answer: 414,377,008

step-by-step explanation:

just multiply it